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Finding the Fourth Proportional to 1,108.61, 1,662.93 and 459.21

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Solution

The fourth proportional to 1,108.61, 1,662.93 and 459.21 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.61 : 1,662.93 = 459.21 : x
  2. Step 2: Convert to fraction form
    1,108.61/1,662.93 = 459.21/x
  3. Step 3: Cross multiply
    1,108.61x = 1,662.93 × 459.21
  4. Step 4: Simplify right side
    1,108.61x = 763,634.09
  5. Step 5: Solve for x
    x = 763,634.09/1,108.61
  6. Step 6: Final answer
    x = 688.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.